300 300 400 Rex 500KN 300KN + 200kN Axially loaded two-step rod The two-step steel rod is subjected to the three external loads shown. The large and small sections of the rod have a diameter of 30 mm and 15 mm respectively. Young's modulus for steel is 210 GPa. Calculate the elongation of the rod.
Q: Rod AB is fixed to a smooth collar D, which slides freely along the vertical guide shown in (Figure…
A:
Q: The composite bar is initially stress-free. Calculate the stress in each material and indicate…
A:
Q: A simply supported beam of circular cross-section made up of hot rolled steel is subjected to a…
A: The ultimate aim of the design is to prepare a drawing or chart in such a way that the resulting…
Q: 8. A steel bar of 40mm x 40mm square cross-section is subjected to an axial compressive load of…
A: Answer: The elongation of the bar will be ◆ When 30mm × 30mm square section : 2.22 mm. ◆ When 40mm…
Q: An aluminum [E = 10,000 ksi] control rod with a circular cross section must not stretch more than…
A:
Q: Determine the instantaneous stress and elongation of a 30 mm diameter bar if a mass of 60 kg falls…
A: This the case of impact load so impact stress is given as σ=PA1+1+2EAhPL P=mg=60*10=600 N…
Q: A load is applied to a rigid bar that is symmetrically supported by three steel rods, as shown. The…
A: here the cross- section of the rod is A A= 1.2 in2 stress = 22000 psi
Q: A solid aluminum [E = 70 GPa; a = 22.5 × 10-6/°C] rod (1) is connected to a solid bronze [E = 100…
A:
Q: The pin-connected structure consists of two cold-rolled steel [E = 28,000 ksi] bars (1) and a bronze…
A:
Q: Q 3 A square steel bar 50 mm on a side and 1 m long is subject to an axial tensile force of 250 kN.…
A:
Q: A simply supported beam of circular cross-section made up of hot rolled steel is subjected to a…
A: The fluctuating loads on a beam induce fluctuating stresses, which in turn lead to fatigue failure.…
Q: 3. A solid aluminum cylinder with an initial diameter of d = 10mm is under a compressive load P = 15…
A: Given data:
Q: A steel bolt 8mm diameter fits loosely inside aluminum tube 8mm diameter and 16mm outside diameter.A…
A: GIVEN DATA: diameter of steel bolt ds=8 mm inner diameter of aluminum di=8…
Q: A metallic rod made of steel as shown below is used as support for a signage with length equal to…
A:
Q: A ring made of 25 mm diameter steel bar carries a pull of 10 kN. Calculate the maximum tensile and…
A: A ring with a diameter of 25 mm and a draw of 10 kN is known. We must determine the ring's maximum…
Q: To determine the maximum allowable axial force applied to a cylindrical column by four different…
A: Given :
Q: 300 300 400 500KN 300kN • 200kN A Axially loaded two-step rod The two-step steel rod is subjected to…
A:
Q: For the structure below, calculate the diameter of the pin G, considering that its allowable stress…
A:
Q: Calculate the mean stress in N/mm2 and variable stress in N/mm2 ii) Calculate the Ultimate…
A: For solution refer below images.
Q: Q6. A 2.25 m long solid bar (Lo) with a 32 mm diameter is placed under tension by a load (F) of 250…
A: GIVEN DATA- F=250KN L=2.25m D=32mm E=200GPa WE HAVE TO FIND CHANGE IN LENGTH
Q: A brass rod of diameter 50mm and of length 250mm which is subjected to a tensile liad of 300kN when…
A: (a) Diameter of rod = 50 mm Area (A) = πd24Area (A) = 3.14 x 0.0524Area (A) = 0.0019625 m2…
Q: A 75 mm diameter compound bar is constructed by shrinking a circular brass bush onto the outside of…
A: To find: The load carried by the steel rod and the brass bush and the compressive stress set up in…
Q: 2. A mild steel rod 1 m long and 20 mm diameter is subjected to an axial pull of 62.5 kN. What is…
A: Given data: - The length of the steel rod is L = 1 m. The diameter of the rod is d = 20 mm. The…
Q: Determine the total deformation of the steel rod shown in figure (1) under the given loads. Take the…
A:
Q: Q 3 A square steel bar 50 mm on a side and 1 m long is subject to an axial tensile force of 250 kN.…
A:
Q: Determine the total deformation of the steel rod shown in figure (1) under the given loads. Take the…
A:
Q: Determine the total deformation of the steel rod shown in figure under the given loads. Take the…
A:
Q: At the proportional limit, a 22 mm thick 75 mm wide bar elongates 6.3 mm under an axial load of 482…
A:
Q: A steel circular tube is subjected to torsion by torques T applied at the ends as shown below. The…
A: This problem is related to the torsion of the shaft. torsion, when the twisting moment is applied to…
Q: A 125 long bar with a cross section of 12.7 mm by 3.2 mm is exposed to a 1560 N tensile load.…
A: Write the given information.
Q: A copper tube having a cross-sectional area of 2 000 mm2 and a length of 300 mm is placed between…
A:
Q: A solid aluminum [E = 70 GPa; a = 22.5 × 10-6/°C]rod (1) is connected to a solid bronze [E = 100…
A: E1 = 70 GPa = 70 X 103 N/mm2 a1 = 22.5 x 10-6 /C E2 = 100 GPa = 100 x 103 N/mm2 a2 =16.9 x 10-6 /C…
Q: A helical spring in which the mean diameter of the coil is 8 times the wire diameter is to be…
A: Given data: Calculate the spring index as follows: Write the expression to calculate the Wahl…
Q: Two vertical steel rods support the rigid bar as shown. Initially, the rods are stress-free. Given…
A: given; →P=20KN =20*103N→E=200GPa =200*103MPa→lets take tension in rod B=TB→lets take tension…
Q: steel is subjected to a fluctuating load that varies from -F to +3F. Determine the minimum ultimate…
A:
Q: QUESTION 3: Square profile made of hollow 1045 steel, with a length of 6 meters with a…
A: Given data: Cross-section of Square hollow profile of steel pipe is drawn below. Cross-sectional…
Q: AB and CD caps of the same material are tightly fitted on both ends of the 24 mm diameter AD steel…
A:
Q: A steel [E = 200 GPa] rod with a circular cross section is 9-m long. Determine the minimum diameter…
A:
Q: A 2.5m steel rod with a cross sectional area of 1250m^2 is secured between rigid supports at both…
A: Given Length = L = 2.5 m Area = A = 1250 m2 Initial Temperature = Ti = 30° C Young's Modulu = E =…
Q: A bar of 1000 mm length and 40 mm diameter is cen- trally bored for 300 mm length at one end at a…
A:
Q: 1 Point A mild steel tie bar is to withstand a maximum tensile force of 100 kN. The ultimate tensile…
A: We have to determine diameter of bar
Q: A metal wire of length =1.5m. Subjected to load resulted by elongation of 2 mm (AL). If the diameter…
A: Given Data L=1.5 m=1500 mm ∆L=2 mm D=1 mm v=0.24
Q: 1.5 Figure 1.9 shows a circular steel rod of length 40 m and diameter 8 mm, which hangs in a mine…
A:
Q: A square steel bar is 50 mm on a side and 250 mm long. It is loaded by an axial tensile force of 200…
A: GIVEN DATA- SIDE OF SQUARE a=50mm L=250mm E=200GPa P=200KN POISSON RATIO=0.3 WE HAVE TO FIND…
Q: A steel bar with dimensions and cross section shown is suspended vertically. Three concentric…
A:
Q: 14. A Steel wire 3 ft long and a copper wire 2 ft long each 0.20in? in cross section, are fastened…
A: We know that elongation formula is δl=PL/AE given data: for Steel Wire L=3ft=3x12 in , A=0.20 in2…
Q: Q 2: A steel rod having a cross-sectional area of 300 mm2 and a length of 5.5 m is suspended…
A: Given data: Applied load (P) = 30 kN Cross-sectional area (A) = 300 mm2 Length of the bar (L) = 5.5…
Q: 25 mm square-cross-section bar of length 300 mm carries an axial compressive load of 50 kN.…
A: Given Data⇒ Bar of square cross section Dimensions of bar =25mm×25mm=0.025mm×0.025mm Length of…
Q: 1. A steel rod of 25 mm diameter is enclosed centrally in a copper hollow tube of external diameter…
A: Given: Diameter of the steel rod is 25 mm. Internal and external diameter of the copper tube are 30…
Q: A metal rod is 50 mm in diameter and 1.3 m long. The rod has a collar on one end and is suspended…
A:
Step by step
Solved in 2 steps with 2 images
- A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the springCompare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?-11 A rubber cube R of a side L = 3 in. and cross- sectional area A = 9 in2 is compressed inside a steel cube S by a force F = 5 lb that applies uniformly distributed pressure to the rubber. Assume E 0.3ksi and,, = 0.45. (a) Calculate the lateral pressure between the rubber and steel (disregard friction between the rubber and the steel, and assume that the steel block is rigid when compared to the rubber). (b) Calculate the change in volume of the rubber.
- Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.
- Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.Question 4A close-coiled helical spring is to have a stiffness of 90 kN/m and is to exert a maximum force of 3.7 kN. If the mean diameter of the coils is 80 mm, and the maximum stress is not to exceed 300 MPa, calculate the required number of coils and the diameter of the steel rod from which the spring should be made (G=80 GPa).A 200 GPa young's modulus of a piston rod of diameter 20 mm and length 700 mm in a hydraulic cylinder is subjected to a compressive force of 10 kN due to the internal pressure. The end conditions of rod may be assumed as guided at the piston end and hinged at the other end.Calculate the factor of safety for the piston rod.
- 300 300 400 Rex 500kN 300KN 200KN Mcz B A Axially loaded two-step rod The two-step steel rod is subjected to the three external loads shown. The large and small sections of the rod have a diameter of 30 mm and 15 mm respectively. Young's modulus for steel is 210 GPa. Calculate the elongation of the rod.A bar of length 5 m is subjected to an axial tensile out of 100 KN The bar is 25 min diameter for 2 mof its length 30 mm diameter for I mor its length, and 20 mm diameter for the remaining 2 m of its length, Taking E= 2 x 10' Calculate the total increase in length of the bur.A hollow circular shaft of inner radius 10 mm outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is?